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Crazy boy [7]
3 years ago
11

On her first stroke, Maria hit a golf ball 140 yards 2 feet 9 inches. On her second stroke, she hit it 170 yards 1 foot 6 inches

. How far did the ball go altogether?
Mathematics
2 answers:
Troyanec [42]3 years ago
6 0
The ball went 311 yards 1 foot 3 inches
MariettaO [177]3 years ago
6 0

Answer:

311 yards, 1 foot and 3 inches.

Step-by-step explanation:

We know that 12 inches equals one foot.

We know that 3 feet equals one yard.

We will start adding up the inches, from these two quantities:

9 inches + 6 inches = 15 inches (but 12 inches equals one foot) = 1 foot and <u>3 inches.</u>

Now we will add up the feet considering we have now one extra foot from our previous sum.

2 feet + 1 foot + 1 foot = 4 foot (but 3 feet equals one yard) = 1 yard and <u>1 foot.</u>

Now we will add up the yards considering we have now one extra yard from our previous sum:

140 yards + 170 yards + 1 yard = <u>311 yards.</u>

So our final answer is: <u>311 yards, 1 foot and 3 inches. </u>

You might be interested in
Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would
Free_Kalibri [48]

Answer:

<h3>The answer is 134.29 m</h3>

Step-by-step explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

56656.04 = \pi {r}^{2}

Divide both sides by π

We have

{r}^{2}  =  \frac{56656.04}{\pi}

Find the square root of both sides

r =  \sqrt{ \frac{56656.04}{\pi} }

r = 134.29139

r = 134.29 m to 2 decimal places

Hope this helps you

3 0
2 years ago
Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t
katrin2010 [14]

Answer:

\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of \triangle ACD and the hypotenuse of \triangle ADB.

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is \angle CAD. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}

Now use this value in the Law of Sines to find AD:

\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}

Recall that \sin 45^{\circ}=\frac{\sqrt{2}}{2} and \sin 60^{\circ}=\frac{\sqrt{3}}{2}:

AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}

Now that we have the length of AD, we can find the length of AB. The right triangle \triangle ADB is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio x:x\sqrt{3}:2x, where x is the side opposite to the 30 degree angle and 2x is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent 2x in this ratio and since AB is the side opposite to the 30 degree angle, it must represent x in this ratio (Derive from basic trig for a right triangle and \sin 30^{\circ}=\frac{1}{2}).

Therefore, AB must be exactly half of AD:

AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24

3 0
2 years ago
Read 2 more answers
Law of Sines (please help!)
love history [14]
Hope this helps! :))))

5 0
2 years ago
Look at the sections between the whole numbers on the number line below. How many equal parts are in each section? What fraction
noname [10]
You didn’t provide us with an image.
3 0
3 years ago
Pls answer BOTH of these
Juli2301 [7.4K]

Answer:

#1 i think is 2x7 i dont know #2 sry

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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